Chiral anomalies and rooted staggered fermions

Details Chiral anomalies and rooted staggered fermions Chiral anomalies and rooted staggered fermions

2007-01-22

arxiv.org/abs/hep-lat/0701018v2

Phys.Lett.B649:230-234,2007

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, no figures; revision includes various clarifications, a changed title, and an additional reference; version to appea

Scientific paper

10.1016/j.physletb.2007.03.065

A popular approximation in lattice gauge theory is an extrapolation in the number of fermion species away from the four fold degeneracy natural with the staggered fermion formulation. I show that the extrapolation procedure mutilates the expected continuum holomorphic behavior in the quark masses. The conventional resolution proposes canceling the unphysical singularities with a plethora of extra states appearing at finite lattice spacing. This unproven conjecture requires an explicit loss of unitarity and locality. Even if correct, the approach implies large cutoff effects in the low-energy flavor-neutral sector.

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